HR: 0800h
AN: T11C-0739 [Abstracts]
TI: Dynamic Effects of Long-Wave Density Gradients due to Internal Heating
AU: * Morris, S
EM: morris@me.berkeley.edu
AF: Mechanical Engineering, University of California, Berkeley, CA 94720, United States
AB:
Though it is estimated that 50--80% of the heat lost from the earth is generated internally within the mantle, our
conceptual
picture of mantle flow is based on simplified boundary layer models for bottom heated convection, in which the
temperature is
adiabatic outside thin boundary layers, and the flow is driven purely by the excess mass of cold plumes
(subducting slabs).
That picture underlies simplified models in which mantle flows are calculated from horizontal density gradients
inferred from
seimology. As a reminder of the assumptions underlying that approach, we give a solution of the coupled fully
nonlinear Boussinesq
equations describing horizontal flow in a horizontal layer of viscous but thermally non--conducting fluid with
uniform internal heating. The
shear stress and heat flux both vanish at the top and bottom of the layer; the flow is driven purely by the small--
amplitude long--wave
baroclinicity due to internal heating, and heat generated internally is removed by the purely horizontal flow. This
solution models flow near
the centre of a large--aspect ratio convection cell, like that occurring beneath the Pacific plate. (There, heat
generated internally is first
transported horizontally over the cell length, then removed at the cell end by mixing of the heated material with the
cold subducted slab.
Our solution models only the first of those processes.) Although our solution does not contain a cold plume, it
predicts that the small--amplitude
long--wave density field due to internal heating can, by itself, generate velocities close to those observed.
Simplified mantle
flow models that assume the motion to be driven purely by seismically observable density differences across
slabs may be ignoring an essential part
of the forcing.
Morris, S. J. S. GRL, 34,doi:10.1029/2007GL030059
DE: 7270 Tomography (6982, 8180)
DE: 8121 Dynamics: convection currents, and mantle plumes
DE: 8130 Heat generation and transport
DE: 8155 Plate motions: general (3040)
DE: 8180 Tomography (6982, 7270)
SC: Tectonophysics [T]
MN: 2007 Fall Meeting